7621861484160 has 1536 divisors, whose sum is σ = 35509718200320. Its totient is φ = 1514849402880.

The previous prime is 7621861484057. The next prime is 7621861484161. The reversal of 7621861484160 is 614841681267.

7621861484160 is a `hidden beast` number, since 7 + 6 + 2 + 1 + 8 + 614 + 8 + 4 + 16 + 0 = 666.

It is a super-4 number, since 4×7621861484160⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7621861484097 and 7621861484106.

It is not an unprimeable number, because it can be changed into a prime (7621861484161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275412084 + ... + 275439756.

It is an arithmetic number, because the mean of its divisors is an integer number (23118306120).

Almost surely, 2^{7621861484160} is an apocalyptic number.

7621861484160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7621861484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754859100160).

7621861484160 is an abundant number, since it is smaller than the sum of its proper divisors (27887856716160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7621861484160 is a wasteful number, since it uses less digits than its factorization.

7621861484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27748 (or 27724 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 7621861484160 in words is "seven trillion, six hundred twenty-one billion, eight hundred sixty-one million, four hundred eighty-four thousand, one hundred sixty".